Search a number
-
+
4222344342420 = 2232537633985637
BaseRepresentation
bin111101011100010111010…
…101011010101110010100
3112221122121102210120220100
4331130113111122232110
51023134330122424140
612551415044534100
7614024425510431
oct75342725325624
915848542716810
104222344342420
111388760339a66
1258239a6b1330
1324821c3c18a9
14108510bd8b88
1574c75dca530
hex3d71755ab94

4222344342420 has 72 divisors (see below), whose sum is σ = 13153934017224. Its totient is φ = 1095527179008.

The previous prime is 4222344342379. The next prime is 4222344342449. The reversal of 4222344342420 is 242434432224.

4222344342420 is a `hidden beast` number, since 4 + 2 + 223 + 4 + 4 + 3 + 4 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1256771039364 + 2965573303056 = 1121058^2 + 1722084^2 .

It is a super-2 number, since 2×42223443424202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316986159 + ... + 316999478.

It is an arithmetic number, because the mean of its divisors is an integer number (182693528017).

Almost surely, 24222344342420 is an apocalyptic number.

It is an amenable number.

4222344342420 is an abundant number, since it is smaller than the sum of its proper divisors (8931589674804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4222344342420 is a wasteful number, since it uses less digits than its factorization.

4222344342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633985689 (or 633985684 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4222344342420 its reverse (242434432224), we get a palindrome (4464778774644).

The spelling of 4222344342420 in words is "four trillion, two hundred twenty-two billion, three hundred forty-four million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 633985637 1267971274 1901956911 2535942548 3169928185 3803913822 5705870733 6339856370 7607827644 9509784555 11411741466 12679712740 19019569110 22823482932 23457468569 28529353665 38039138220 46914937138 57058707330 70372405707 93829874276 114117414660 117287342845 140744811414 211117217121 234574685690 281489622828 351862028535 422234434242 469149371380 703724057070 844468868484 1055586085605 1407448114140 2111172171210 4222344342420